"Otones 8-16" refers to a scale generated by taking the 8th through 16th overtone over some fundamental. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.
Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:
harmonic
ratio from 1/1
ratio in between ("step")
names
cents value, scale member
cents value, step
8
1/1
unison, perfect prime
0.00
9:8
large whole step; Pythagorean whole step; major whole tone
203.91
9
9/8
large whole step; Pythagorean whole step; major whole tone
203.91
10:9
small whole step; 5-limit whole step; minor whole tone
182.40
10
5/4
5-limit major third
386.31
11:10
large undecimal neutral second, 4/5-tone, Ptolemy's second
165.00
11
11/8
undecimal semi-augmented fourth
551.32
12:11
small undecimal neutral second, 3/4-tone
150.64
12
3/2
just perfect fifth
701.955
13:12
large tridecimal neutral second, tridecimal 2/3 tone
138.57
13
13/8
tridecimal neutral sixth
840.53
14:13
small tridecimal neutral second; lesser tridecimal 2/3 tone
128.30
14
7/4
harmonic seventh
968.83
15:14
septimal minor second; major diatonic semitone
119.44
15
15/8
5-limit major seventh; classic major seventh
1088.27
16:15
5-limit minor second; classic minor second; minor diatonic semitone
Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:
Compositions:
Paracelsus for Diatonic Harmonic Guitar by Dante RosatiNo Snow for Diatonic Harmonic Guitar by Dante Rosati